The text you provided seems to be a math problem asking for an exponential function in the form y = ab^x that goes through the points (0,18) and (2,1458).

Here's how to solve it:

Step 1: Identify the two points. In this case, they are (0,18) and (2,1458).

Step 2: Substitute the first point into the equation. Since x = 0 and y = 18, we get 18 = a*b^0. Since any number to the power of 0 is 1, we find that a = 18.

Step 3: Substitute the second point and the value of a into the equation. Since x = 2, y = 1458, and a = 18, we get 1458 = 18*b^2.

Step 4: Solve for b. Divide both sides of the equation by 18 to get b^2 = 81. Taking the square root of both sides gives b = 9 (we only take the positive root since b is in the base of an exponential function).

Step 5: Write the final function. Substituting a = 18 and b = 9 into the equation y = ab^x gives y = 18*9^x.

So, the exponential function that goes through the points (0,18) and (2,1458) is y = 18*9^x.

Question

The text you provided seems to be a math problem asking for an exponential function in the form y = ab^x that goes through the points (0,18) and (2,1458).

Here's how to solve it:

Step 1: Identify the two points. In this case, they are (0,18) and (2,1458).

Step 2: Substitute the first point into the equation. Since x = 0 and y = 18, we get 18 = a*b^0. Since any number to the power of 0 is 1, we find that a = 18.

Step 3: Substitute the second point and the value of a into the equation. Since x = 2, y = 1458, and a = 18, we get 1458 = 18*b^2.

Step 4: Solve for b. Divide both sides of the equation by 18 to get b^2 = 81. Taking the square root of both sides gives b = 9 (we only take the positive root since b is in the base of an exponential function).

Step 5: Write the final function. Substituting a = 18 and b = 9 into the equation y = ab^x gives y = 18*9^x.

So, the exponential function that goes through the points (0,18) and (2,1458) is y = 18*9^x.

Knowee AI · Accepted Answer

The text you provided seems to be a math problem asking for an exponential function in the form y = ab^x that goes through the points (0,18) and (2,1458).

Here's how to solve it:

Step 1: Identify the two points. In this case, they are (0,18) and (2,1458).

Step 2: Substitute the first point into the equation. Since x = 0 and y = 18, we get 18 = a*b^0. Since any number to the power of 0 is 1, we find that a = 18.

Step 3: Substitute the second point and the value of a into the equation. Since x = 2, y = 1458, and a = 18, we get 1458 = 18*b^2.

Step 4: Solve for b. Divide both sides of the equation by 18 to get b^2 = 81. Taking the square root of both sides gives b = 9 (we only take the positive root since b is in the base of an exponential function).

Step 5: Write the final function. Substituting a = 18 and b = 9 into the equation y = ab^x gives y = 18*9^x.

So, the exponential function that goes through the points (0,18) and (2,1458) is y = 18*9^x.

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